Date of Final Oral Examination (Defense)
Type of Culminating Activity
Master of Science in Mathematics
Samuel Coskey, Ph.D.
Paul Ellis, Ph.D.
John Clemens, Ph.D.
Marion Scheepers, Ph.D.
Let A = (A−, A+, A) and B = (B−, B+, B) be relations. A morphism is a pair of maps φ− : B− → A− and φ+ : A+ → B+ such that for all b ∈ B− and a ∈ A+, φ−(b)Aa ⟹ bBφ+(a). We study the existence of morphisms between finite relations. The ultimate goal is to identify the conditions under which morphisms exist. In this thesis we present some progress towards that goal. We use computation to verify the results for small finite relations.
Barton, Rhett, "Tukey Morphisms Between Finite Binary Relations" (2021). Boise State University Theses and Dissertations. 1868.